To describe the slow dynamics of a system out of equilibrium, but close to a dynamical arrest, we generalise the ideas of previous work to the case where time-translational invariance is broken. We introduce a model of dynamics that is reasonably general, and show how all of the unknown...

Within the context of a general mode-coupling theory previously developed for the description of equilibrium fluctuations in simple classical fluids, we derive an expression for the effective longitudinal viscosity includings couplings to currents so that certain key assumptions inherent in...

Slow dynamics which shows up in supercooled liquid near the glass transition is discussed on the basis of the discretized version of the dynamical density functional equation which is the mesoscopic kinetic equation put forth recently in an attempt to go beyond the current mode-coupling...

Transport properties of glass-formers near glass transition reflect the varying degrees of the sensitivity of the solid-like dynamics and structures with respect to temperature, depending on their fragility. Notably, however, most glasses resume Arrehenius transport behavior upon onset of...

The experimental and the simulation results for the mean-square displacements in various systems are analyzed near glass transitions by employing the mean-field theory recently proposed. By comparing different glass transitions with each other from a unified point view, it is then shown that the...

The Tokuyama–Mori type projection-operator method is employed to study the dynamics of nonlinear density fluctuations near the glass transition. A linear non-Markov time-convolutionless equation for the scattering function Fα(q,t) is first derived from the Newton equation with the memory...

We study the significant entropy changes in supercooling and glass transition by developing a two (H and L) state cluster model, where the H-state represents the clusters with the coordination number z being larger than the reference size zR and the L-state those with zzR, respectively. We...

The numerical solutions of the mode-coupling equations for the Lennard-Jones binary colloids are investigated by extensive Brownian-dynamics simulations from a unified point of view based on the mean-field theory proposed recently by one of the present authors [M. Tokuyama, Physica A 378 (2007)...

Self-diffusion in multi-component glass-forming systems including fragile and strong glasses is studied from a unified viewpoint. A simple analytic form of long-time self-diffusion coefficient DSL is proposed. The equations for the mean-square displacements recently derived for two types of...

In this work, we assess the relevance of different range particle displacements and string motions to the metabasin (MB) dynamics of a simple glass former. We find that MB transitions are triggered by the occurrence of massive rearrangements termed as “democratic clusters” or d-clusters...